Lemma
MediumSequences & series
AQuA-RAT train #77590 · Algebra · Sequences & series

Series C(n) is such that i*C(i) = j*C(j) for any pair of…

Series C(n) is such that i*C(i) = j*C(j) for any pair of positive integers (i, j). If C(1) is a positive integer, which of the following is possible? I. 2*C(100) = C(99) + C(98) II. C(1) is the only integer in the series III. The series does not contain negative numbers

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AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #77590

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